Assignments are given in class and may vary from the list given here.
I. Foundations

Week	Topic	On-line Reading Assignments, Activities & Reference	Homework
1 08/25/09	Lecture: What is Mathematics?	Carefully read the syllabus.	Class notes, journal essay "What is Mathematics?"
1	Lecture: Glyphs and Games: Our search for the Origins of Mathematics.	Paleopsychology: How old is the modern mind? The Stone Age : What math do we find here? The Mathematical Brain.	Class notes, journal, Metacognition: What is your number recognition limit?
1	Lecture: From Moon Tallies to Calendars:	The Ishango Bone: Oldest mathematical object? The Neolithic Revolution The Cesium Clock	Class notes, journal and HW: Do a web search on "Ancient Calendars". Write about one of the ancient calendars.
1	Homework Space, Shape & Symmetry:	Pattern: From Dartmouth University An Exploration: Escher Web Sketch	Journal entry.

Week	Topic	On-line Reading Assignments, Activities & Reference	Homework
2	Lecture: From Tokens to Tablets and Tables: The Birth of Abstract Number	The Transition Mathematics Using tokens Oneness, Twoness, Threenes: The Birth of Abstract Number	Class notes, readings, journal and Explore: 1.Ancient Sumeria 2. Mesopotamian Mathematics Metacognition exercise: The Game of Nim
2	Lecture : Egyptian Mathematics:	Contents of the Rhind Papyrus An Overview of Egyptian Mathematics Egyptian Arithmetic	Class notes, readings, journal and Include in your journal: The Rhind Papyrus Multiply 987 by 34 using the Egytian doubling method in hieroglyphs.
3	Lecture : Base n mathematics	Mathematics in any base? Base n Tables Base n Calculator	Class notes, journal and HW. Write addition and multiplication tables for base 4 and base 5. Add 323 + 132 in base 4. Multiply 4302 x 31 in base 5.
3	Lecture : Mesopotamian Mathematics	Babylonian Mathematics Babylonian Numerals The Cuneiform Calculator	Class notes, readings, journal and Include in your journal: The Plimpton Tablet HW: The Measurement of the Circle Activity.
4	Lecture Measurement:	Metrology	Class notes, readings, journal. HW: Describe either the ancient sumerian or egyptian metrological system.
4	Lecture : Ancient Mathematical Mileposts: A comparison of ancient mathematical Systems and the types of problems solved.	Four Directions The Circle formula YBC 7289	Class notes, readings, journal. Hw Calculate the squareroot of 2 using the babylonian method. HW: Solve problem 28 of the Rhind Papyrus using the method of False Position.

Week	Topic	On-line Reading Assignments, Activities & Reference	Homework
5	Lecture : The Greek Mystery:	Thales of Miletus Ancient Greek Rational Thought	Class notes, readings, journal. HW: Write A short bio on Thales. Include the first "theorems".
5	Lecture : Math In Nature	Fibonacci Numbers and the Golden Section The Golden Ratio	Class notes, readings, journal. HW: Determine your Golden Ratio! What do you think about this? HW: PIKO
5	Lecture: Astrologia	An Overview of Early Cosmological Thought Greek Astronomy	In class notes, readings, Questions for your journal
6	Lecture: Pythagoras:	Pythagoras of Samos Musica Number Symbolism	Class notes, readings, journal. HW: Write A short bio on Pythagoras. HW: Personal number symbolism assignment. HW:Our first Inquiry:Xtris
6	Lecture : Arithmetica:The Birth of Number Theory	The Triangular Numbers Number Patterns Quadrivium	Class notes, readings, journal. Include the dissection proof of Pythagorean Theorem and a number theory proof in your journal.
6	Lecture : Harmonia	Musica	None. For your interest! Ancient Greek Music Greek Musical Thought
6	Lecture: The Number that Changed Greek Mathematics	Commensurable Numbers The Square Root of Two The square root of two is irrational	Class notes, readings, journal. Explain in your journal what is meant by incommensurable numbers.
7	Lecture : The Classical Greek Period	The School at Athens Eudoxus Deductive Reasoning Platonic Solids Zeno's Paradoxes Proof: 64 = 65.	Class notes, readings, journal. According to Plato, why was the study of mathematics essential? Eudoxus Bio. Bring Compass and Straightedge to class on Wed. Today is the last day to turn in late work.
7	Lecture : Geometria	Seven basic compass and straightedge constructions	Class notes, readings, journal. HW: Exercises and Explorations.
8	Lecture : Logica	The algebra of logos. Aristotle's Logic Logical Fallacies	Class notes, readings, journal. My Favorite Fallacy
8	Lecture : The Elements	Axiomatic Mathematics The Elements Dr. Joyce's Online Version	Class notes, readings, journal. HW: Euclid Bio. HW: Find the following proofs in the Elements. Give book and proposition number in your journal: The Seven Basic Constructions Geometry: The construction of a regular pentagon. Algebra: (a + b)2 Number Theory: Euclid's First Theorem Number Theory: The Euclidean Algorithm Geometry: The Pythagorean theorem Number Theory: The Infinitude of the Primes.
9	Lecture : Archimedes The Greatest Mathematician of All time?	Archimedes Infinite Secrets	Class notes, readings, journal. HW: Archimedes bio. Classical and Hellenistic Ages.
9	Lecture : To Infinity	The Sand Reckoner What inifity is not. Infinite Sets	Class notes, readings, journal. The Powers of Ten You can't get there from here! Cantors Proofs
10	Lecture Greek Mathematics	Apollonius of Perga and Conic Sections Ptolemy Diophantus Hypatia	Class notes, readings, journal. Ptolemy Bio. Explain Ptolemy's mathematical model of the universe. Metacognition exercise:Dots

10	Lecture : The Mathematics of Islam	Al Khwarizmi	Class notes, readings, journal. HW: Use the lattice method to multiply 19576 X 768 Use Al Khwarizmi's Method to solve x2+16x = 47.
10	Lecture : Online Assignment	Science & Mathematics in Medieval Islamic Cultures Brahmagupta	Writing Assignment: Write Journal entry on Islamic Mathemetics.
11	Lecture : Mathematics in Medieval Europe	The History of Algebra The History of Polynomial Equations The Art and Science of Navigation Leonardo of Pisa Liber Abaci History	Class notes, readings, journal.

11	Lecture : The Book of Nature	Galileo Kepler The concept of the function History	Class notes, readings, journal and assigned HW. Read Galileo's Battle for the Heavens Bio: Galileo and Kepler
12	Lecture : Analytic Geometry	Viete La Geometrie Fermat Descartes	Class notes, readings, journal and HW Descartes Bio.
12	Lecture : The Elementary Functions	Functions The Equation of a line Trigonometric Functions	Class notes, readings, journal and assigned HW. Graphs of The Elementary Functions The Rice on the Chessboard Problem
13	Lecture : The Calculus and Differential Equations	Newton Liebniz Differential and Integral Calculus	Class notes, readings, journal and assigned HW. The Principia. The slope of a curve problem. The area under a curve problem. Newton bio.
13	Lecture : The Bones of Tyche	Probabilty Pascal and Fermat The theory of Probabilty Game Theory Decision Theory	Class notes, readings, journal and assigned HW: An Essay- Does randomness exist? Metacognition: Konane

14	Lecture : An introduction to 18th Century Mathematics Mathematical Logic	Creating Truth Tables	Class notes, readings, journal and assigned HW. HW: Work through The lessons on Introduction to logic.
14	Lecture :Non-Euclidean Geometry	Leonhard Euler Explore Non-euclidean Geometries The Geometry Junkyard	Class notes, readings, journal and assigned HW. HW: NonEuclid Interactive Worksheet. Work through The Hyperbolic Problems .
14	Lecture : Number Theory	Gauss Modular Arithmetic The Secret of Nim	Class notes, readings, journal and assigned HW: Mod 5 addition and multiplication tables. Your Final Journal
15	Lecture : The Mathematics of Symmetry	An Introduction Abstract Symmetries	Class notes, readings, journal and assigned HW. The symmetries of the square group table using transposition notation.